Question: Given W = (ax + Y)? where X and Y are zero-mean random variables with variance ox =2, and variance oy = 16, respectively.

Given W = (ax + Y)? where X and Y are zero-mean

Given W = (ax + Y)? where X and Y are zero-mean random variables with variance ox =2, and variance oy = 16, respectively. Moreover, their correlation coefficient is r= - 0.2. 1. Find the expected value of W as function of a 2. Find the value of the parameter a that minimizes the mean value of W. 3. Find the minimum mean value.

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